different between rivalry vs emulatory

English

rival +? -ry?

rivalry (countable and uncountable, plural rivalries)

An ongoing relationship between (usually two) rivals who compete for superiority.
The Boston Bruins have a longstanding rivalry with the Montreal Canadiens.
James and Polly have a bitter rivalry due to the latter's inclusion in the Tea Time Teaser.
(economics) The characteristic of being a rivalrous good, such that it can be consumed or used by only one person at a time.
Any competition between two or more things or factors.
Binocular rivalry is a visual phenomenon in which perception alternates between different images presented to each eye.

emulatory (not comparable)

Pertaining to emulation or rivalry.
- 1613, Joseph Hall, A Farewell Sermon
  emulatory officiousness

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